Personally, I use a USB wireless WiFi connector as like you I can't use an Ethernet cable. Checking briefly it looks fine yup. Your PSU is fine for what part you have, but as I said in my previous comment you're missing your GPU, and depending how beefy that is, it may not be good enough but I doubt it. If the case doesn't have any screws or inbuilt bays, you could buy yourself one off somewhere (for instance one like this: https://www.amazon.co.uk/Icy-Box-IB-AC643-Internal-Mounting/dp/B00NPZR4YC/ref=sr_1_1?ie=UTF8&qid=1513078556&sr=8-1&keywords=ssd+bay possibly could work, but I haven't looked or checked anything).
Any more questions just ask :)
Not all computers will have a SSD and HDD, especially if purchased pre-assembled, so there might not be an original SSD to replace. If you didn't build it yourself, you might need to purchase a SATA cable (the one that goes from SSD to motherboard - assuming it is a SATA SSD).
If it does, then it may be worth keeping the old connected anyway, I use a 120GB SSD for OS and basic programs, then a 480GB SSD for games and finally a 2TB HDD for storage.
If you want the new SSD to have the OS and still keep the old one, you might need to change boot priority in BIOS, so windows loads from the new SSD.
Also if you don't have a slot for the new SSD in your case, you can find an adaptor cheap online or most computer / electronics shops. Something like this will do the job.